$m$ and radius $R$ touching a rough wall of coefficient of friction $\mu$ as shown in figure. The ring has an initial angular velocity of $\omega_0$.

Consider a ring of massFind the time taken by the ring to come to a halt.

**Details and Assumptions**

The ring doesn't translate on the wall.

$\mu = \dfrac{1}{\sqrt{3}}$

$m = 1 kg$

$R = 1 m$

$\alpha = \dfrac{\pi}{3}$

$\omega_0 = 10 rad/s$

$g = 10 m/s^2$